Question

The side of a square is measured to be 10ft with a possible error of plus/minus 0.1ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer.

Answer 1

±2∧

Explanation:

x=10ft dx=±0.1

area y=x²

dy=2xdx

when x=10

dy=2×10×(±0.1)=±2

error in area=±2